I do, but they're on different servers. I can't exactly afford to have two of the same class with an 11-character per server restriction now can I?
I have never had two of the same class maxed at the same time though, except for once back in Wrath. I had taken to leveling/casually playing a Tauren Druid on an RP server after getting bored with my main, a Night Elf Druid. When the Cataclsym pre-expansion events rolled around, I really wanted to see both sides (plus Horde and Alliance got different goodies for participating) so I power-leveled that sumbitch like nobody's business and squeaked by on my freshly-maxed Tauren. It was good to see the Horde stuff, but I ended up having more time than I thought so I really didn't have to put myself through so much hassle, especially during college. -_-